Let the focal point F be at the origin, the horizontal line

y = −2 be the directrix, and P = (r; θ) be equidistant from

the focus and the directrix. Using the polar variables r and θ,

write an equation that says that the distance from P to the

directrix equals the distance from P to F. The configuration of

all such P is a familiar curve; make a rough sketch of it. Then

rearrange your equation so that it becomes r = 2/1 − sin θ,

On which polar ray does no point appear?

I think this should be an ellipse.

But I am not sure what the last part of the problem is asking.